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Condensed Matter Seminars

ics Condensed Matter
Thursday, December 1, 2005
4:00 PM
Physics Building, Room 204
Note special time.
Note special room.
Anton Burkov [Host: Victor Galitski]
Harvard University
"Bosons on the Triangular Lattice: Mott Transition in the Presence of Geometrical Frustration"
ABSTRACT:
Interest in the behavior of interacting bosons on two-dimensional lattices has recently been revived by the experimental realization of superfluid-insulator transition of cold atoms in an optical lattice. Such models are also interesting from a broader prospective since they provide a simpler context to explore general aspects of conducting-insulating transitions of electrons. I will talk about our recent study of the interplay between Mott localization and geometrical frustration in a system of interacting bosons on the triangular lattice. Frustration prevents localization into simple ordered states, that can be determined by minimizing only the interaction energy. A variety of unconventional states thus become possible, notably supersolids and valence bond ordered insulators. I will describe a general phenomenological theory of these states, based on a duality transformation from bosons to vortices and compare this theory with numerical simulations.

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